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Simplifying 8x + -4 = 0.5(4x + 16) Reorder the terms: -4 + 8x = 0.5(4x + 16) Reorder the terms: -4 + 8x = 0.5(16 + 4x) -4 + 8x = (16 * 0.5 + 4x * 0.5) -4 + 8x = (8 + 2x) Solving -4 + 8x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 8x + -2x = 8 + 2x + -2x Combine like terms: 8x + -2x = 6x -4 + 6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 6x = 8 + 0 -4 + 6x = 8 Add '4' to each side of the equation. -4 + 4 + 6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 8 + 4 6x = 8 + 4 Combine like terms: 8 + 4 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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